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10231604456192 = 2872977834859
BaseRepresentation
bin1001010011100011101100…
…1001100010101100000000
31100020010120002212122211022
42110320323021202230000
52320113311220044232
633432200104205012
72104131460630100
oct224707311425400
940203502778738
1010231604456192
113295220a839a9
121192b53769768
13592ab4075942
142752d878d200
1512b232cc0812
hex94e3b262b00

10231604456192 has 108 divisors (see below), whose sum is σ = 23781993941160. Its totient is φ = 4380479889408.

The previous prime is 10231604456191. The next prime is 10231604456201. The reversal of 10231604456192 is 29165440613201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10231604456191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11838059 + ... + 12672917.

Almost surely, 210231604456192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231604456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890996970580).

10231604456192 is an abundant number, since it is smaller than the sum of its proper divisors (13550389484968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10231604456192 is an frugal number, since it uses more digits than its factorization.

10231604456192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835866 (or 835845 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 10231604456192 in words is "ten trillion, two hundred thirty-one billion, six hundred four million, four hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 977 1568 1792 1954 3136 3908 6272 6839 7816 12544 13678 15632 27356 31264 47873 54712 62528 95746 109424 125056 191492 218848 250112 382984 437696 765968 834859 875392 1531936 1669718 1750784 3063872 3339436 5844013 6127744 6678872 11688026 12255488 13357744 23376052 26715488 40908091 46752104 53430976 81816182 93504208 106861952 163632364 187008416 213723904 327264728 374016832 654529456 748033664 815657243 1309058912 1496067328 1631314486 2618117824 3262628972 5236235648 5709600701 6525257944 10472471296 11419201402 13050515888 22838402804 26101031776 39967204907 45676805608 52202063552 79934409814 91353611216 104404127104 159868819628 182707222432 208808254208 319737639256 365414444864 639475278512 730828889728 1278950557024 1461657779456 2557901114048 5115802228096 10231604456192